71165056128 has 128 divisors (see below), whose sum is σ = 192967272000. Its totient is φ = 23230943232.

The previous prime is 71165056103. The next prime is 71165056129. The reversal of 71165056128 is 82165056117.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 71165056128.

It is not an unprimeable number, because it can be changed into a prime (71165056129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6088626 + ... + 6100302.

Almost surely, 2^71165056128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71165056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96483636000).

71165056128 is an abundant number, since it is smaller than the sum of its proper divisors (121802215872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71165056128 is a wasteful number, since it uses less digits than its factorization.

71165056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12022 (or 12010 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 71165056128 in words is "seventy-one billion, one hundred sixty-five million, fifty-six thousand, one hundred twenty-eight".